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Finding the Fourth Proportional to 133,537.80, 199,982.70 and 71,070.60

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Solution

The fourth proportional to 133,537.80, 199,982.70 and 71,070.60 is: 106,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.80 : 199,982.70 = 71,070.60 : x
  2. Step 2: Convert to fraction form
    133,537.80/199,982.70 = 71,070.60/x
  3. Step 3: Cross multiply
    133,537.80x = 199,982.70 × 71,070.60
  4. Step 4: Simplify right side
    133,537.80x = 14,212,890,478.62
  5. Step 5: Solve for x
    x = 14,212,890,478.62/133,537.80
  6. Step 6: Final answer
    x = 106,433.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.